3309887520 has 144 divisors (see below), whose sum is σ = 11395507032. Its totient is φ = 874782720.

The previous prime is 3309887509. The next prime is 3309887521. The reversal of 3309887520 is 257889033.

3309887520 is a `hidden beast` number, since 3 + 30 + 98 + 8 + 7 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1852785936 + 1457101584 = 43044^2 + 38172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3309887521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152550 + ... + 172890.

Almost surely, 2^3309887520 is an apocalyptic number.

3309887520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3309887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697753516).

3309887520 is an abundant number, since it is smaller than the sum of its proper divisors (8085619512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3309887520 is a wasteful number, since it uses less digits than its factorization.

3309887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20475 (or 20464 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3309887520 is about 57531.6219135181. The cubic root of 3309887520 is about 1490.2909991222.

The spelling of 3309887520 in words is "three billion, three hundred nine million, eight hundred eighty-seven thousand, five hundred twenty".